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Finding the Fourth Proportional to 9,810.83, 14,722.29 and 3,886.71

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Solution

The fourth proportional to 9,810.83, 14,722.29 and 3,886.71 is: 5,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.83 : 14,722.29 = 3,886.71 : x
  2. Step 2: Convert to fraction form
    9,810.83/14,722.29 = 3,886.71/x
  3. Step 3: Cross multiply
    9,810.83x = 14,722.29 × 3,886.71
  4. Step 4: Simplify right side
    9,810.83x = 57,221,271.77
  5. Step 5: Solve for x
    x = 57,221,271.77/9,810.83
  6. Step 6: Final answer
    x = 5,832.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.